Systematic analysis of the proton mass radius based on photoproduction of vector charmoniums

Abstract

In this work, the cross-section of the reaction $\gamma p\to V(J/\psi ,\psi (2S))p$ from the production threshold to medium energy is studied and systematically analyzed within two gluon exchange model. The obtained numerical results are in agreement with experimental data and other theoretical predictions. Under the assumption of the scalar form factor of dipole form, the value of proton mass radius is calculated as $0.55\pm 0.09$ fm and $0.77\pm 0.12$ fm from the fit to the predicted $J/\psi$ and $\psi (2S)$ differential cross-section, respectively. Finally the average value of proton mass radius is estimated to be $\sqrt{⟨R_m^2⟩}=0.67\pm 0.11$ fm. Moreover, one find that extracting mass radius from the near-threshold differential cross-section of heavy quarkoniums is always affected by large $|t{|}_{min}$. These obtained results may provide important theoretical reference for understanding of nucleon structure and future relevant experiments.

7pages, 10figures

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• Dispersive Determination of Nucleon Gravitational Form Factors
• First extraction of the proton mass radius and scattering length $\left|{\alpha }_{{\rho }^{0}p}\right|$ from ${\rho }^0$ photoproduction
• Mass radius and mechanical properties of the proton via strange $\varphi$ meson photoproduction
• Gravitational form factors of the proton from near-threshold vector meson photoproduction
• Analysis of the contribution of the quantum anomaly energy to the proton mass
• Gluon gravitational form factors of protons from charmonium photoproduction
• Measurement of exclusive $J/\psi$ and $\psi (2S)$ production at $\sqrt{s}=13$ TeV
• Photo-production of ${\eta }_{c,b}$ near Threshold
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• Analysis of $J/\psi$ and $\psi (2S)$ Charmonium Production in Ultraperipheral Lead-Lead and Proton-Lead Collisions at LHC Energies